34402553541 has 6 divisors (see below), whose sum is σ = 49692577350. Its totient is φ = 22935035688.

The previous prime is 34402553539. The next prime is 34402553567. The reversal of 34402553541 is 14535520443.

34402553541 is a `hidden beast` number, since 3 + 4 + 40 + 25 + 53 + 541 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30886656516 + 3515897025 = 175746^2 + 59295^2 .

It is not a de Polignac number, because 34402553541 - 2¹ = 34402553539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34402553496 and 34402553505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404553541) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1911252966 + ... + 1911252983.

It is an arithmetic number, because the mean of its divisors is an integer number (8282096225).

Almost surely, 2^34402553541 is an apocalyptic number.

It is an amenable number.

34402553541 is a deficient number, since it is larger than the sum of its proper divisors (15290023809).

34402553541 is a wasteful number, since it uses less digits than its factorization.

34402553541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822505955 (or 3822505952 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34402553541 in words is "thirty-four billion, four hundred two million, five hundred fifty-three thousand, five hundred forty-one".